Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6257, 7483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6257, 7483 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6257, 7483 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6257, 7483 is 1.
HCF(6257, 7483) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6257, 7483 is 1.
Step 1: Since 7483 > 6257, we apply the division lemma to 7483 and 6257, to get
7483 = 6257 x 1 + 1226
Step 2: Since the reminder 6257 ≠ 0, we apply division lemma to 1226 and 6257, to get
6257 = 1226 x 5 + 127
Step 3: We consider the new divisor 1226 and the new remainder 127, and apply the division lemma to get
1226 = 127 x 9 + 83
We consider the new divisor 127 and the new remainder 83,and apply the division lemma to get
127 = 83 x 1 + 44
We consider the new divisor 83 and the new remainder 44,and apply the division lemma to get
83 = 44 x 1 + 39
We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get
44 = 39 x 1 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6257 and 7483 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(83,44) = HCF(127,83) = HCF(1226,127) = HCF(6257,1226) = HCF(7483,6257) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6257, 7483?
Answer: HCF of 6257, 7483 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6257, 7483 using Euclid's Algorithm?
Answer: For arbitrary numbers 6257, 7483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.